What is the Greatest Common Factor of 79098 and 79107?

Greatest common factor (GCF) of 79098 and 79107 is 3.

GCF(79098,79107) = 3

We will now calculate the prime factors of 79098 and 79107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79098 and 79107.

How to find the GCF of 79098 and 79107?

We will first find the prime factorization of 79098 and 79107. After we will calculate the factors of 79098 and 79107 and find the biggest common factor number .

Step-1: Prime Factorization of 79098

Prime factors of 79098 are 2, 3, 13183. Prime factorization of 79098 in exponential form is:

79098 = 2¹ × 3¹ × 13183¹

Step-2: Prime Factorization of 79107

Prime factors of 79107 are 3, 7, 3767. Prime factorization of 79107 in exponential form is:

79107 = 3¹ × 7¹ × 3767¹

Step-3: Factors of 79098

List of positive integer factors of 79098 that divides 79098 without a remainder.

1, 2, 3, 6, 13183, 26366, 39549

Step-4: Factors of 79107

List of positive integer factors of 79107 that divides 79098 without a remainder.

1, 3, 7, 21, 3767, 11301, 26369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79098 and 79107. The biggest common factor number is the GCF number.
So the greatest common factor 79098 and 79107 is 3.

Also check out the Least Common Multiple of 79098 and 79107